The frustrated and compositional nature of chaos in small Hopfield networks

2002 ◽  
Author(s):  
H. Bersini ◽  
P. Sener
Keyword(s):  
Hopfield Networks

scholarly journals Single Neuronal Dynamical System in Self-Feedbacked Hopfield Networks and Its Application in Image Encryption

Entropy ◽  
2021 ◽  
Vol 23 (4) ◽  
pp. 456
Author(s):  
Xitong Xu ◽  
Shengbo Chen
Keyword(s):  
Dynamical System ◽  
Image Encryption ◽  
Chaotic Dynamic ◽  
Security Analysis ◽  
High Sensitivity ◽  
Hopfield Network ◽  
Complex Structures ◽  
Hopfield Networks ◽  
Discrete Form ◽  
Chaotic Parameter

Image encryption is a confidential strategy to keep the information in digital images from being leaked. Due to excellent chaotic dynamic behavior, self-feedbacked Hopfield networks have been used to design image ciphers. However, Self-feedbacked Hopfield networks have complex structures, large computational amount and fixed parameters; these properties limit the application of them. In this paper, a single neuronal dynamical system in self-feedbacked Hopfield network is unveiled. The discrete form of single neuronal dynamical system is derived from a self-feedbacked Hopfield network. Chaotic performance evaluation indicates that the system has good complexity, high sensitivity, and a large chaotic parameter range. The system is also incorporated into a framework to improve its chaotic performance. The result shows the system is well adapted to this type of framework, which means that there is a lot of room for improvement in the system. To investigate its applications in image encryption, an image encryption scheme is then designed. Simulation results and security analysis indicate that the proposed scheme is highly resistant to various attacks and competitive with some exiting schemes.

Dynamic analysis of unstable Hopfield networks

2010 ◽  
Vol 61 (3) ◽  
pp. 399-406 ◽  
Author(s):  
Pengsheng Zheng ◽  
Wansheng Tang ◽  
Jianxiong Zhang
Keyword(s):  
Dynamic Analysis ◽  
Hopfield Networks

Hopfield Networks

2013 ◽  
pp. 121-142
Author(s):  
Rudolf Kruse ◽  
Christian Borgelt ◽  
Frank Klawonn ◽  
Christian Moewes ◽  
Matthias Steinbrecher ◽  
...  
Keyword(s):  
Hopfield Networks
Sign in / Sign up

Export Citation Format

Share Document